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A293407 Least integer k such that k/n^2 > (-1 + sqrt(5))/2 (the golden ratio). 2
0, 1, 3, 6, 10, 16, 23, 31, 40, 51, 62, 75, 89, 105, 122, 140, 159, 179, 201, 224, 248, 273, 300, 327, 356, 387, 418, 451, 485, 520, 557, 594, 633, 674, 715, 758, 801, 847, 893, 941, 989, 1039, 1091, 1143, 1197, 1252, 1308, 1366, 1424, 1484, 1546, 1608, 1672 (list; graph; refs; listen; history; text; internal format)
OFFSET
0,3
LINKS
FORMULA
a(n) = ceiling(r*n^2), where r = (-1 + sqrt(5))/2.
a(n) = A152738(n) + 1 for n > 0.
MATHEMATICA
z = 120; r = -1+GoldenRatio;
Table[Floor[r*n^2], {n, 0, z}]; (* A152738 *)
Table[Ceiling[r*n^2], {n, 0, z}]; (* A293407 *)
Table[Round[r*n^2], {n, 0, z}]; (* A293408 *)
CROSSREFS
Sequence in context: A294481 A049697 A111712 * A194144 A330133 A025701
KEYWORD
nonn,easy
AUTHOR
Clark Kimberling, Oct 11 2017
STATUS
approved

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Last modified July 13 17:55 EDT 2024. Contains 374285 sequences. (Running on oeis4.)